Question

$\sqrt{\frac{2GM}{R}}$ has the dimension of

• A. velocity
• B. displacement
• C. acceleration
• D. force

Answer 1

Answer: (A)

We know that $\sqrt{\frac{2GM}{R}}={\upsilon }_e$ , where ${\upsilon }_e$ is the sescape velocity.
Clearly $\sqrt{\frac{2GM}{R}}$ has the dimensions of velocity.